报告主题：Spreading dynamics for a time-periodic nonlocal dispersal epidemic model with delay and vaccination

时间：2026年10月13日9:30-10:30

地点：1-218

报告人：吴事良

报告内容简介：

In this talk, we investigate the spreading dynamics for a time-periodic nonlocal dispersal epidemic model with delay and vaccination. We first establish the spreading speed of the model and an abstract framework on the existence of time-periodic traveling waves, which will help us to derive the existence of the super-critical and critical time-periodic traveling waves. Then we show that the spreading speed coincides with the minimal waves speed of time-periodic traveling waves. Further, we consider the effects of delay, periodicity, nonlocality and vaccination on the spreading speed. In the absence of delay, we find a large class of the time-periodic systems that have the same spreading speed. When delay is introduced, some numerical simulations reveal that the spreading speed initially exhibits oscillatory behavior and ultimately converges to a constant as time-period increases.

主讲人简介：

吴事良，西安电子科技大学教授、博士生导师，陕西省科技创新团队带头人。现为中国数学会理事和陕西省数学会常务理事。主要研究方向为微分方程、动力系统及应用。主持国家自然科学基金5项和陕西省杰出青年科学基金1项；获陕西省科学技术奖一等奖2项、二等奖1项，以及第十一届陕西青年科技奖。部分成果发表在J. Math Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math Anal.、JDE、Nonlinearity等期刊。